This paper introduces an analytical model of contaminated insulators under critical conditions. The dynamic mathematical model based on the description of the equivalent electrical circuit approach and the criterion for the propagation of discharge has been improved. A few laboratory tests were conducted on practical insulators installed to measure the flashover voltage and determine dynamic arc parameters (A and n). The electric arc constant values are extracted based on the simulation of the experimental results using the genetic algorithm technique with several levels of pollution. The critical parameters, which are the current, length, and resistance of discharge, have been measured and calculated based on the proposed model. The actual results of the proposed models’ voltage were compared with the experimental results and previous research study under various resistance of pollution layers. Statistical analysis based on different coefficients were applied to validate the reliability of the proposed models. The experimental and simulation findings show the insulator's expected performance under various operating conditions per the IEC 5070 Standard.

本文介绍了临界条件下受污染绝缘子的分析模型。改进了基于等效电路方法描述和放电传播判据的动态数学模型。对安装的实际绝缘子进行了一些实验室测试，以测量闪络电压并确定动态电弧参数（A和n）。电弧常数值是基于使用遗传算法技术对多个污染级别的实验结果进行模拟提取的。基于所提出的模型测量和计算了放电的电流、长度和电阻等关键参数。在各种污染层电阻下，将所提出模型的电压的实际结果与实验结果和先前的研究进行了比较。应用基于不同系数的统计分析来验证所提出模型的可靠性。实验和模拟结果显示了绝缘子在符合 IEC 5070 标准的各种操作条件下的预期性能。